On approximating two distributions from a single complex-valued function

Details On approximating two distributions from a single complex-valued function On approximating two distributions from a single complex-valued function

2011-01-11

arxiv.org/abs/1101.2006v1

Journal of Applied Mathematics, Vol 1, No 6, 439-445 (2010) http://www.scirp.org/journal/am/

Physics

Mathematical Physics

9 pages, 4 figures

Scientific paper

10.4236/am.2010.16058

We consider the problem of approximating two, possibly unrelated probability distributions from a single complex-valued function $\psi$ and its Fourier transform. We show that this problem always has a solution within a specified degree of accuracy, provided the distributions satisfy the necessary regularity conditions. We describe the algorithm and construction of $\psi$ and provide examples of approximating several pairs of distributions using the algorithm.

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